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Finding the Fourth Proportional to 7,462, 10,297.60 and 4,150

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Solution

The fourth proportional to 7,462, 10,297.60 and 4,150 is: 5,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462 : 10,297.60 = 4,150 : x
  2. Step 2: Convert to fraction form
    7,462/10,297.60 = 4,150/x
  3. Step 3: Cross multiply
    7,462x = 10,297.60 × 4,150
  4. Step 4: Simplify right side
    7,462x = 42,735,040
  5. Step 5: Solve for x
    x = 42,735,040/7,462
  6. Step 6: Final answer
    x = 5,727.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.